Just noticed a lot of New Release Movie rentals on my Apple TV for $2.99 called Movie Frenzy and ends on the 16th, but to be safe I would rent on the evening of the 15th (might end 12am).
Edit: Forgot to mention. Rentals expire in 28 days from the day you rent as long as you don't start the movie. After you start the movie you have 48 hours until expiry.
Sometimes you can forget you rented something so I do recommend setting a reminder to watch the movie every week if you rented more than 1 movie.
They have these pretty regularly ($2.99 down from $6.99), but this is the biggest bunch of New Releases at once I have seen so far. Hopefully it helps someone catch a movie on their Apple TV if it's not on their subscription service.
A few of them were not included on the Movies App list but were on my Watch list. Some of these will be available on subcription services (Binge/Stan etc), if you notice any that are "Free on Sub" you can point them out in the comments maybe it will save some people time.
I have also noticed in the past Prime Video will occasionally price match rentals on iTunes, so you can check these on Prime if that's more convenient for you (no Apple TV etc).
If you have a sub to a service I suggest you pick the ones you wanted to watch out of the list then search for them in the Subscription (Netflix) App (some subs don't show in the main TV App) before renting them from iTunes.
The Forgiven (2022) (deal link) https://itunes.apple.com/au/movie/the-forgiven/id1640564657
Elvis (2022, director of The Great Gatsby) https://itunes.apple.com/au/movie/elvis/id1625859236
Top Gun Maverick (Free on Binge) (2022) https://itunes.apple.com/au/movie/top-gun-maverick/id1622175…
Three Thousand Years of Longing (2022, director of Mad Max) https://itunes.apple.com/au/movie/three-thousand-years-of-lo…
You Won't Be Alone (2022) https://itunes.apple.com/au/movie/you-wont-be-alone/id163313…
The Survivor (2022) https://itunes.apple.com/au/movie/the-survivor/id1639272395
Piggy (2022) https://itunes.apple.com/au/movie/piggy-2022/id1649139041
Muru (2022 Recent Kiwi Movie) https://itunes.apple.com/au/movie/muru/id1649136404
Dual (2022, director of "Faults" 2014 which I liked) https://itunes.apple.com/au/movie/dual/id1625916300
Emily the Criminal (2022) https://itunes.apple.com/au/movie/emily-the-criminal/id16483…
Stars at Noon (2022) https://itunes.apple.com/au/movie/stars-at-noon/id1655443553
The Outfit (2022) https://itunes.apple.com/au/movie/the-outfit-2022/id16181768…
Rogue Agent (2022) https://itunes.apple.com/au/movie/rogue-agent/id1652630042
Vengeance (2022) https://itunes.apple.com/au/movie/vengeance-2022/id164263742…
Mona Lisa and the Blood Moon (2022) -Can't find link for some reason
Where the Crawdads Sing (Free on Binge) (2022) https://itunes.apple.com/au/movie/where-the-crawdads-sing/id…
Watcher (2022) https://itunes.apple.com/au/movie/watcher/id1649008889
The Invitation (2022) https://itunes.apple.com/au/movie/the-invitation/id163898098…
Play Dead (2023) https://itunes.apple.com/au/movie/play-dead-2023/id165960607…
Black Site (Coming to Stan 20th Feb) (2022) https://itunes.apple.com/au/movie/black-site/id1648443166
Bandit (2022) https://itunes.apple.com/au/movie/bandit/id164825881
Smile (2022, suicidal themes) https://itunes.apple.com/au/movie/smile/id1646701590
Man of God (2022, stars Mickey Rourke) https://itunes.apple.com/au/movie/man-of-god/id1639251814
Sundown (2022, stars Tim Roth and Charlotte Gainsbourg) (https://itunes.apple.com/au/movie/sundown/id1637500071)
Infernal Machine (2022) https://itunes.apple.com/au/movie/the-infernal-machine/id164…
Crimes of the Future (Free on Stan) (2022, director is David Cronenberg) https://itunes.apple.com/au/movie/crimes-of-the-future/id164…
The Quiet Girl (Free on SBS On Demand with Ads) (2022) https://itunes.apple.com/au/movie/the-quiet-girl/id164712594…
Everything Everywhere all at Once (Free on Prime and Binge) (2022)
Operation Mince Meat (Free on Binge) (2022) https://itunes.apple.com/au/movie/operation-mincemeat/id1624…
Bonus New Release for 99c
The Man Who Sold His Skin (2022) https://itunes.apple.com/au/movie/the-man-who-sold-his-skin/…
There might be more so if you notice a movie on your watch list with a 2022/2023 release date for $2.99 you can mention it and I will add it to the list.